SAKryukov
Joined 23 November 2020
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:::::::: The Symbiotic comma is the difference between 77/72 and 2187/2048, and the sum of the quartisma and the nexus comma. It gets its name both from the fact that it is tempered out in such notable temperaments as vishnu, newt, kwai, supers, guiron and amity, and, from the fact that it also makes a good extension to a number of other temperaments such as canou. | :::::::: The Symbiotic comma is the difference between 77/72 and 2187/2048, and the sum of the quartisma and the nexus comma. It gets its name both from the fact that it is tempered out in such notable temperaments as vishnu, newt, kwai, supers, guiron and amity, and, from the fact that it also makes a good extension to a number of other temperaments such as canou. | ||
:::::::: the Alpharabian comma, 131769/131072, is the difference between a stack of two 128/121 diatonic semitones and a 9/8 whole tone. The comma gets its name from the association between al-Farabi with the 33/32 quartertone- which is part of the 2-3-11-based tuning. Specifically, it comes through an analogy between the familiar association between | :::::::: the Alpharabian comma, 131769/131072, is the difference between a stack of two 128/121 diatonic semitones and a 9/8 whole tone. The comma gets its name from the association between al-Farabi with the 33/32 quartertone- which is part of the 2-3-11-based tuning. Specifically, it comes through an analogy between the familiar association between Pythagoras and 3-prime-based tuning on one hand, and the aformementioned association between al-Farabi with the 33/32 quartertone on the other. This analogy is furthered by the fact that 131769/131072 is similar to that of the Pythagorean comma in that it relates diatonic semitones to the 9/8 whole tone. | ||
:::::::: The Betarabian comma, 264627/262144, is the sum of the schisma and the biyatisma (121/120), as well as the sum of the Alpharabian comma and the rastma (243/242). The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being the comma which separates primary and secondary 2-3-11-based intervals and the term "Alpharabian" itself containing the word "Alpha" within it- all that was needed was for "Beta" to be put in place of the "Alpha". | :::::::: The Betarabian comma, 264627/262144, is the sum of the schisma and the biyatisma (121/120), as well as the sum of the Alpharabian comma and the rastma (243/242). The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being the comma which separates primary and secondary 2-3-11-based intervals and the term "Alpharabian" itself containing the word "Alpha" within it- all that was needed was for "Beta" to be put in place of the "Alpha". | ||
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::::::::: It's fine to have it here now, but you cannot expect that I digest it right away. :-) The only thing I wanted to ask you in first place: is *arabian related to Arabic culture? I did not expect to face such a crazy word play: it is related not to "Arabic", but to the name of our Kazakhstan location "Farabi", with Arabic form "al" with the meaning close to the preposition "from", which makes the name of a person "from Farab", and the resulting name associated with the letter name "Alpha". After replacement of "Alpha" by "Beta" the name "Farabi" is totally dissolved, due to elimination of "F", forget about "al-". To see the real sophistication of it, we also have to remember that the form "al-" is Arabic, but Arabic analogs of Greek "Alpha" and "Beta" are read differently: "Alif" and "Ba". The wordplay is certainly pretty smart. And what kind of a person is supposed to figure out such puzzles? :-) | ::::::::: It's fine to have it here now, but you cannot expect that I digest it right away. :-) The only thing I wanted to ask you in first place: is *arabian related to Arabic culture? I did not expect to face such a crazy word play: it is related not to "Arabic", but to the name of our Kazakhstan location "Farabi", with Arabic form "al" with the meaning close to the preposition "from", which makes the name of a person "from Farab", and the resulting name associated with the letter name "Alpha". After replacement of "Alpha" by "Beta" the name "Farabi" is totally dissolved, due to elimination of "F", forget about "al-". To see the real sophistication of it, we also have to remember that the form "al-" is Arabic, but Arabic analogs of Greek "Alpha" and "Beta" are read differently: "Alif" and "Ba". The wordplay is certainly pretty smart. And what kind of a person is supposed to figure out such puzzles? :-) | ||
:::::::::: The term "Alpharabian" comes from "Alpharabius"– another name for [https://en.wikipedia.org/wiki/Al-Farabi Abu Nasr al-Farabi]– and was chosen due to the fact that 33/32, also known as the the "al-Farabi Quartertone", is the primary limma of the 11-limit, a fact which lends itself to the idea of 2.3.11 tuning being called "Alpharabian tuning" in the same way that 2.3 tuning is called "Pythagorean tuning". I imagine that the rest of what you've said about the wordplay is quite true, seeing as I didn't know the meaning of the name "al-Farabi" aside from its connection to the aforementioned person. It is specifically the name "Alpharabius" and the related adjective "Alpharabian" that bear the association with the letter name "Alpha". I'm sorry, I should have mentioned the remaining specifics, but I was struggling with how to express this complicated etymology. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:42, 1 December 2020 (UTC) | |||
::: Oh, great! Huygens-Fokker Foundation's list of intervals you referenced in the first paragraph of this section. It can help me to explain to you what is that very characteristic of communication problems I can see in the musicians. In the list, you can see the set of rational-number intervals and some names. Hopefully, all rational numbers in the list are irreducible fractions. What information does this page carry? Next to nothing. The only possible use is this: when you already got some interval from some other source, say, from your own calculation, you can check up: is it one of the well-known intervals or not, and, if it is, what is its well-known name? Even this information has some uncertainty, because, strictly speaking, "well-known" is something uncertain, so the only definitive information you get is this: is my interval on the Huygens-Fokker Foundation's list? :-). And yes, this is exactly what you've checked in this case. You cannot learn anything about any of the concrete commas from this page. For the contrast example, look at any good Wikipedia page. Sometimes you can start from some reference and end up with the study of an entire field of science... — [[User:SAKryukov|SA]], ''Tuesday 2020 December 1, 02:06 UTC'' | ::: Oh, great! Huygens-Fokker Foundation's list of intervals you referenced in the first paragraph of this section. It can help me to explain to you what is that very characteristic of communication problems I can see in the musicians. In the list, you can see the set of rational-number intervals and some names. Hopefully, all rational numbers in the list are irreducible fractions. What information does this page carry? Next to nothing. The only possible use is this: when you already got some interval from some other source, say, from your own calculation, you can check up: is it one of the well-known intervals or not, and, if it is, what is its well-known name? Even this information has some uncertainty, because, strictly speaking, "well-known" is something uncertain, so the only definitive information you get is this: is my interval on the Huygens-Fokker Foundation's list? :-). And yes, this is exactly what you've checked in this case. You cannot learn anything about any of the concrete commas from this page. For the contrast example, look at any good Wikipedia page. Sometimes you can start from some reference and end up with the study of an entire field of science... — [[User:SAKryukov|SA]], ''Tuesday 2020 December 1, 02:06 UTC'' | ||